Chemistry question?

Question

The density of air at room temperature is (25 C) is 1.11x10^-3 kg/L. How many grams of air are in a room measuring 12.1 x 7.2 x 2.0 m?

please show your work so I can check it against mine... Thanks for your help!!

Answer 1

volume of room = l x w x h = 12.1 m x 7.2 m x 2.0 m = 174.24 m^3

174.24 m^3 x ( 1000 L / 1 m^3) x (1.11 x 10^-3 kg / L) x (1000 g/kg) = 193,000 g

Answer 2

convert density into g / m^3

1 L = 10^-3 m^3 ; air density is then 1.11 x 10^-3 kg x 10^3 g/kg/Lx10^-3m^3/L = 1.11 x 10^-3 g / m^3

room volume is 12.1 x 7.2 x 2.0 m^3

grams of air is then

1.11 x 10^-3 g / m^3 x 12.1 x 7.2 x 2.0 m^3

you can do the calculation

understand what was done; treat units as algebra and you will master all of these types of problems.

Answer 3

volume of room is l* b* h
=12.1 *7.2 *2
=174.24 m^3
10^3 lt =1m^3
there fore volume of room is
174.24*10^3 lt
there for am of air present in the room is 174.24*10^3 * 1.11*10^-3
=193.4064 KG
that is 193406.4 grams of air

Answer 4

1000 L = 1 m^3

12.1*7.2*2 = 174.24 m^3

174.24 m^3 = 174240 L

1.11*10^-3 Kg/L * 174240 L = 193.406 Kg

193.406 Kg * 1000g/1Kg = 193406.4 g

~193400 g

Answer 5

Find room volume in m, convert to L (multiply by 1000)
Multiply volume in liters by density, then multiply by 1000 to convert kg to grams.

Answer 6

well. 1cm^3=1mL


your room's volume, in cm, is 1210cm x 720 cm x 200 cm =174240000 cm^3 or 174240000 mL

To change that mL into L, divide by 1000
174240000mL/1000=174240 L

for every L you have 1.11 x10^-3 kg... so we multiply those two: 193.4064 kg

to change that to grams, multiply by 1000: 193206.4 g

didn't do sig figs. so yeah there u go

Answer 7

The volume is 174.24 m^3 = 1.74 X 10^8cm^3 = 1.74 X 10^5 L
then X1.11X10^-3kg/L
--------------------------------------
1.934064X10^2 kg